Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Theory of Transfinite Numbers' and 'Advice to a Young Tradesman'

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6 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
     Full Idea: Metaphysics is the most general attempt to make sense of things.
     From: A.W. Moore (The Evolution of Modern Metaphysics [2012], Intro)
     A reaction: This is the first sentence of Moore's book, and a touchstone idea all the way through. It stands up well, because it says enough without committing to too much. I have to agree with it. It implies explanation as the key. I like generality too.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
     Full Idea: A set is any collection into a whole M of definite, distinct objects m ... of our intuition or thought.
     From: George Cantor (The Theory of Transfinite Numbers [1897], p.85), quoted by James Robert Brown - Philosophy of Mathematics Ch.2
     A reaction: This is the original conception of a set, which hit trouble with Russell's Paradox. Cantor's original definition immediately invites thoughts about the status of vague objects.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
     Full Idea: Cantor grafted the Power Set axiom onto his theory when he needed it to incorporate the real numbers, ...but his theory was supposed to be theory of collections that can be counted, but he didn't know how to count the new collections.
     From: report of George Cantor (The Theory of Transfinite Numbers [1897]) by Shaughan Lavine - Understanding the Infinite I
     A reaction: I take this to refer to the countability of the sets, rather than the members of the sets. Lavine notes that counting was Cantor's key principle, but he now had to abandon it. Zermelo came to the rescue.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
     Full Idea: Appearances in general are nothing outside our representations, which is just what we mean by transcendental ideality.
     From: A.W. Moore (The Evolution of Modern Metaphysics [2012], B535/A507)
23. Ethics / B. Contract Ethics / 8. Contract Strategies
Punctuality and justice in dealings are excellent for raising a man in the world [Franklin]
     Full Idea: After industry and frugality, nothing contributes more to raising a young man in the world than punctuality and justice in all his dealings.
     From: Benjamin Franklin (Advice to a Young Tradesman [1748], p.87-), quoted by Max Weber - The Protestant Ethic and the Spirit of Capitalism 2
     A reaction: A perfect illustration of the self-interest that drives morality in the social contract view.
24. Political Theory / D. Ideologies / 11. Capitalism
Time is money, ..credit is money, ..and money breeds more money [Franklin]
     Full Idea: Remember that time is money, …and that credit is money, …and that money can beget money.
     From: Benjamin Franklin (Advice to a Young Tradesman [1748], p.87-), quoted by Max Weber - The Protestant Ethic and the Spirit of Capitalism 2
     A reaction: [snippets] A wonderful quotation rescued by Max Weber, showing that Franklin understood capitalism with crystal clarity, before it had even barely begun